Math Problem Statement

2/3 - (-3/4)

Solution

To solve the expression 23(34)\frac{2}{3} - (-\frac{3}{4}), follow these steps:

  1. Recognize that subtracting a negative number is the same as adding the positive equivalent. Therefore, the expression becomes: 23+34\frac{2}{3} + \frac{3}{4}

  2. To add these fractions, they must have a common denominator. The least common denominator of 3 and 4 is 12.

  3. Convert each fraction to have the common denominator of 12: 23=2×43×4=812\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} 34=3×34×3=912\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}

  4. Add the fractions: 812+912=8+912=1712\frac{8}{12} + \frac{9}{12} = \frac{8 + 9}{12} = \frac{17}{12}

  5. Simplify the fraction if possible. In this case, 1712\frac{17}{12} is already in its simplest form.

So, the solution is: 23(34)=1712\frac{2}{3} - (-\frac{3}{4}) = \frac{17}{12}

Would you like any further details or have any questions about this solution?

Here are 5 questions you might want to ask:

  1. How do I simplify complex fractions?
  2. What are the steps to convert fractions to a common denominator?
  3. Can you explain how to add mixed numbers?
  4. How do I multiply and divide fractions?
  5. What are some common mistakes to avoid when working with fractions?

Tip: When dealing with fractions, always make sure to simplify your final answer to its lowest terms for clarity and precision.

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Math Problem Analysis

Mathematical Concepts

Fractions
Arithmetic Operations

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8